Answer:
d<3
Step-by-step explanation:
-7d+8>29
First lets remove the inequality for know
-7d+8=29
then remember to re add the inequality to the equation
-7d>21
since you divide by negative you switch
d<3
that is your answer
Answer:
Second option: (-2,-3) and (1,0)
Step-by-step explanation:
Given the system of equations
, you can rewrite them in this form:

Simplify:
Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

Substitute each value of "x" into any of the original equation to find the values of "y":

Then, the solutions are:
(-2,-3) and (1,0)
Answer:
Step-by-step explanation:
4x-13
If a function is defined as

where both
are continuous functions, then
is also continuous where defined, i.e. where 
So, in your case, this function is continous everywhere, except where

To solve this equation, we can use the formula 
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.
Answer and workings in the attachment below. Also, do me one big favour. Let me know if it's the answer your teacher or text book ends up giving you. That would give me some satisfaction.
Answer: 80%